If `a^(-1), b^(-1), c^(-1), d^(-1)` are in A.P then find the value of `(a^(-2)-d^(-2))(b^(-2)-c^(-2))^(-1)`

If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P. then show that b=(2ac)/(a+c) and b/d=(3a-c)/(a+c)

If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P., then show that : b=(2ac)/(a+c) and b/d=(3a-c)/(a+c) .

If 1/(x+2),1/(x+3),1/(x+5) are in A.P then the value of x will be a)1 b)2 c)3 d)5

If a,b,c,d are in G.P.,prove that (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P.and (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P

If a,b,c,d are in G.P.prove that: (i) quad (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P. (i) (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.

If a, b, c , d are in G.P. , then shown that (i) (a + b)^(2) , (b +c)^(2), (c + d)^(2) are in G.P. (ii) (1)/(a^(2) + b^(2)), (1)/(b^(2) +c^(2)), (1)/(c^(2) + d^(2)) are in G.P.

If a+b=2c, then the value of (a)/(a-c)+(b)/(b-c) is (1)/(2)(b)1(c)2(d)3

If a,b,c,d are in G.P.prove that: (a^(2)+b^(2)),(b^(2)+c^(2)),(c^(2)+d^(2)) are in G.P.(a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P.(1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.(a^(2)+b^(2)+c^(2)),(ab+bc+cd),(b^(2)+c^(2)+d^(2))

If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b-c), (1)/(c-a), (1)/(a-b) are also in A.P.